Question

A fence around a square garden has a perimeter of 96 feet. Find the approximate length of the diagonal of this square garden. Roundyour answer to the nearest hundredths.Type your answer...

Answer 1

Given data:

Perimeter of the square= 96ft

Recall that a square is a four-sided shape with all sides equal.

That is perimeter of a square = L+L+L+L= 4L;

Where L is the length of each side of the square;

`\begin{gathered} 4L=96 \\ L=(96)/(4) \\ L=24ft \end{gathered}`
`\begin{gathered} hypotenuse^2=opposite^2+adjacent^2 \\ d^2=24^2+24^2 \\ d^2=576+576 \\ d^2=1152 \end{gathered}`
`\begin{gathered} d=\sqrt[]{1152} \\ d=33.94ft \end{gathered}`

Hence, the diagonal of the square garden is 33.94ft